If matrix `A=[a_(ij)]_(2X2)`, where ` a_(ij)={[1,i!=j],[0,i=j]}, then A^2` is equal to
If matrix `A=[a_(ij)]_(2X2)`, where ` a_(ij)={[1,i!=j],[0,i=j]}, then A^2` is equal to
A. I
B. A
C. 0
D. none of these
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We have, `A=[a_(ij)]_(2xx2)`, where `a_(ij)=1`, if `inej=0` and if i=j
`A=[{:(0,1),(1,0):}]`
and `A^(2)=[{:(0,1),(1,0):}][{:(0,1),(1,0):}]=[{:(1,0),(0,1):}]=I`
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